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Finding the Third Proportional to 9.94 and 17.64

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Solution

The third proportional to 9.94 and 17.64 is: 31.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.94 : 17.64 = 17.64 : x
  2. Step 2: Convert to fraction form
    9.94/17.64 = 17.64/x
  3. Step 3: Cross multiply
    9.94x = 17.64 × 17.64
  4. Step 4: Simplify right side
    9.94x = 311.16
  5. Step 5: Solve for x
    x = 311.16/9.94
  6. Step 6: Final answer
    x = 31.30

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.